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Finding the Fourth Proportional to 1,430.44, 1,974.23 and 933.82

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Solution

The fourth proportional to 1,430.44, 1,974.23 and 933.82 is: 1,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.44 : 1,974.23 = 933.82 : x
  2. Step 2: Convert to fraction form
    1,430.44/1,974.23 = 933.82/x
  3. Step 3: Cross multiply
    1,430.44x = 1,974.23 × 933.82
  4. Step 4: Simplify right side
    1,430.44x = 1,843,575.46
  5. Step 5: Solve for x
    x = 1,843,575.46/1,430.44
  6. Step 6: Final answer
    x = 1,288.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.